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	<title>Page:Organum mathematicum libris IX. explicatum (1668).djvu/668 - Revision history</title>
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	<updated>2026-05-03T16:57:43Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/668&amp;diff=91011&amp;oldid=prev</id>
		<title>ArchivesPUG: /* top */added Template:TurnPage, replaced: &lt;references/&gt; → &lt;references/&gt; {{TurnPage}}</title>
		<link rel="alternate" type="text/html" href="https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/668&amp;diff=91011&amp;oldid=prev"/>
		<updated>2020-05-06T14:55:25Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;top: &lt;/span&gt;added &lt;a href=&quot;/mediawiki/index.php/Template:TurnPage&quot; title=&quot;Template:TurnPage&quot;&gt;Template:TurnPage&lt;/a&gt;, replaced: &amp;lt;references/&amp;gt; → &amp;lt;references/&amp;gt; {{TurnPage}}&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:55, 6 May 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Page body (to be transcluded):&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Page body (to be transcluded):&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;possunt Horologia Horizontalia et Verticalia, si sciatur, quanti seu quot graduum ac minutorum sint in eo loco, pro quo construenda sunt, ut postea in praxi videbimus. Hos ergo arcus nunc indagare docebimus. Supponi autem debet cognitio altitudinis poli il illo loco, pro quo arcus indagantur; et distantiae a Meridiano cujuslibet horarii circuli, de qua in praecedentibus Propositionibus egimus. Incipimus ab arcubus Horizontalibus. Itaque&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;possunt Horologia Horizontalia et Verticalia, si sciatur, quanti seu quot graduum ac minutorum sint in eo loco, pro quo construenda sunt, ut postea in praxi videbimus. Hos ergo arcus nunc indagare docebimus. Supponi autem debet cognitio altitudinis poli il illo loco, pro quo arcus indagantur; et distantiae a Meridiano cujuslibet horarii circuli, de qua in praecedentibus Propositionibus egimus. Incipimus ab arcubus Horizontalibus. Itaque&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Sit Medidianus A C B D, Horizon A G B, Aequator C G D, descriptus ex Mundi polis E et F; itaque Aequatoris Quadranties C G, et G D, divisi in sex aequales partes, quarum quaelibet 15 gradus seu singulas horas contineat. Sit praeterea circulis Horarius E H F I, transiens per polos Mundi, et per puncta H et I horae tertiae ac nonae in Aequatore, ita ut puncta H et I distent a Meridiano tribus horis, et arcus Aequatoris C H, et D I contineant gradus 45. Inveniendus nunc sit arcus A K, vel B L Horizontis, inter Meridianum et Horarium horae tertiae ac nonae interceptus. &amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Sit Medidianus A C B D, Horizon A G B, Aequator C G D, descriptus ex Mundi polis E et F; itaque Aequatoris Quadranties C G, et G D, divisi in sex aequales partes, quarum quaelibet 15 gradus seu singulas horas contineat. Sit praeterea circulis Horarius E H F I, transiens per polos Mundi, et per puncta H et I horae tertiae ac nonae in Aequatore, ita ut puncta H et I distent a Meridiano tribus horis, et arcus Aequatoris C H, et D I contineant gradus 45. Inveniendus nunc sit arcus A K, vel B L Horizontis, inter Meridianum et Horarium horae tertiae ac nonae interceptus. &amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Consideretur vel triangulum A F K, rectangulum ad A, vel triangulum B E L, rectangulum ad B. In triangulo A F K datur arcus seu latus A F, tot gradibus depressum infra Horizontem, quot elevatus est arcus B E supra Horizontem. Datur praeterea angulus A F K tantus, quantus est angulus C F H, vel C E H, determinatus ab arcu C H Aequatoris. Ex his duplici vis inveniri potest arcus Horizontalis A K; primo, per Sinus et Tangentes, secundo, per Logarithmos illorum.&amp;lt;noinclude&amp;gt;&amp;lt;references/&amp;gt;&amp;lt;/noinclude&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Consideretur vel triangulum A F K, rectangulum ad A, vel triangulum B E L, rectangulum ad B. In triangulo A F K datur arcus seu latus A F, tot gradibus depressum infra Horizontem, quot elevatus est arcus B E supra Horizontem. Datur praeterea angulus A F K tantus, quantus est angulus C F H, vel C E H, determinatus ab arcu C H Aequatoris. Ex his duplici vis inveniri potest arcus Horizontalis A K; primo, per Sinus et Tangentes, secundo, per Logarithmos illorum.&amp;lt;noinclude&amp;gt;&amp;lt;references/&amp;gt; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{{TurnPage}}&lt;/ins&gt;&amp;lt;/noinclude&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key my_wiki:diff::1.12:old-70448:rev-91011 --&gt;
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		<author><name>ArchivesPUG</name></author>
	</entry>
	<entry>
		<id>https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/668&amp;diff=70448&amp;oldid=prev</id>
		<title>ArchivesPUG: /* top */clean up</title>
		<link rel="alternate" type="text/html" href="https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/668&amp;diff=70448&amp;oldid=prev"/>
		<updated>2020-02-14T09:40:22Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;top: &lt;/span&gt;clean up&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 09:40, 14 February 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Page body (to be transcluded):&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Page body (to be transcluded):&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;possunt Horologia Horizontalia et Verticalia, si sciatur, quanti seu quot graduum ac minutorum sint in eo loco, pro quo construenda sunt, ut postea in praxi videbimus. Hos ergo arcus nunc indagare docebimus. Supponi autem debet cognitio altitudinis poli il illo loco, pro quo arcus indagantur; et distantiae a Meridiano cujuslibet horarii circuli, de qua in praecedentibus Propositionibus egimus. Incipimus ab arcubus Horizontalibus. Itaque&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;possunt Horologia Horizontalia et Verticalia, si sciatur, quanti seu quot graduum ac minutorum sint in eo loco, pro quo construenda sunt, ut postea in praxi videbimus. Hos ergo arcus nunc indagare docebimus. Supponi autem debet cognitio altitudinis poli il illo loco, pro quo arcus indagantur; et distantiae a Meridiano cujuslibet horarii circuli, de qua in praecedentibus Propositionibus egimus. Incipimus ab arcubus Horizontalibus. Itaque&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Sit Medidianus A C B D, Horizon A G B, Aequator C G D, descriptus ex Mundi polis E et F; itaque Aequatoris Quadranties C G, et G D, divisi in sex aequales partes, quarum quaelibet 15 gradus seu singulas horas contineat. Sit praeterea circulis Horarius E H F I, transiens per polos Mundi, et per puncta H et I horae tertiae ac nonae in Aequatore, ita ut puncta H et I distent a Meridiano tribus horis, et arcus Aequatoris C H, et D I contineant gradus 45. Inveniendus nunc sit arcus A K, vel B L Horizontis, inter Meridianum et Horarium horae tertiae ac nonae interceptus. &amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Sit Medidianus A C B D, Horizon A G B, Aequator C G D, descriptus ex Mundi polis E et F; itaque Aequatoris Quadranties C G, et G D, divisi in sex aequales partes, quarum quaelibet 15 gradus seu singulas horas contineat. Sit praeterea circulis Horarius E H F I, transiens per polos Mundi, et per puncta H et I horae tertiae ac nonae in Aequatore, ita ut puncta H et I distent a Meridiano tribus horis, et arcus Aequatoris C H, et D I contineant gradus 45. Inveniendus nunc sit arcus A K, vel B L Horizontis, inter Meridianum et Horarium horae tertiae ac nonae interceptus. &amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Consideretur vel triangulum A F K, rectangulum ad A, vel triangulum B E L, rectangulum ad B. In triangulo A F K datur arcus seu latus A F, tot gradibus depressum infra Horizontem, quot elevatus est arcus B E supra Horizontem. Datur praeterea angulus A F K tantus, quantus est angulus C F H, vel C E H, determinatus ab arcu C H Aequatoris. Ex his duplici vis inveniri potest arcus Horizontalis A K; primo, per Sinus et Tangentes, secundo, per Logarithmos illorum.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Consideretur vel triangulum A F K, rectangulum ad A, vel triangulum B E L, rectangulum ad B. In triangulo A F K datur arcus seu latus A F, tot gradibus depressum infra Horizontem, quot elevatus est arcus B E supra Horizontem. Datur praeterea angulus A F K tantus, quantus est angulus C F H, vel C E H, determinatus ab arcu C H Aequatoris. Ex his duplici vis inveniri potest arcus Horizontalis A K; primo, per Sinus et Tangentes, secundo, per Logarithmos illorum.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;noinclude&amp;gt;&amp;lt;references/&amp;gt;&amp;lt;/noinclude&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[Category:AKC Works pages]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[Category:AKC Pages]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[Category:Organum mathematicum (1668)]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Footer (noinclude):&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Footer (noinclude):&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;references/&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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&lt;/table&gt;</summary>
		<author><name>ArchivesPUG</name></author>
	</entry>
	<entry>
		<id>https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/668&amp;diff=68021&amp;oldid=prev</id>
		<title>Sang Min Lee: /* Not proofread */ Created page with &quot;possunt Horologia Horizontalia et Verticalia, si sciatur, quanti seu quot graduum ac minutorum sint in eo loco, pro quo construenda sunt, ut postea in praxi videbimus. Hos erg...&quot;</title>
		<link rel="alternate" type="text/html" href="https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/668&amp;diff=68021&amp;oldid=prev"/>
		<updated>2019-12-18T11:19:07Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Not proofread: &lt;/span&gt; Created page with &amp;quot;possunt Horologia Horizontalia et Verticalia, si sciatur, quanti seu quot graduum ac minutorum sint in eo loco, pro quo construenda sunt, ut postea in praxi videbimus. Hos erg...&amp;quot;&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;noinclude&amp;gt;&amp;lt;pagequality level=&amp;quot;1&amp;quot; user=&amp;quot;Lovison2019 LEE&amp;quot; /&amp;gt;&amp;lt;/noinclude&amp;gt;possunt Horologia Horizontalia et Verticalia, si sciatur, quanti seu quot graduum ac minutorum sint in eo loco, pro quo construenda sunt, ut postea in praxi videbimus. Hos ergo arcus nunc indagare docebimus. Supponi autem debet cognitio altitudinis poli il illo loco, pro quo arcus indagantur; et distantiae a Meridiano cujuslibet horarii circuli, de qua in praecedentibus Propositionibus egimus. Incipimus ab arcubus Horizontalibus. Itaque&amp;lt;br&amp;gt;&lt;br /&gt;
Sit Medidianus A C B D, Horizon A G B, Aequator C G D, descriptus ex Mundi polis E et F; itaque Aequatoris Quadranties C G, et G D, divisi in sex aequales partes, quarum quaelibet 15 gradus seu singulas horas contineat. Sit praeterea circulis Horarius E H F I, transiens per polos Mundi, et per puncta H et I horae tertiae ac nonae in Aequatore, ita ut puncta H et I distent a Meridiano tribus horis, et arcus Aequatoris C H, et D I contineant gradus 45. Inveniendus nunc sit arcus A K, vel B L Horizontis, inter Meridianum et Horarium horae tertiae ac nonae interceptus. &amp;lt;br&amp;gt;&lt;br /&gt;
Consideretur vel triangulum A F K, rectangulum ad A, vel triangulum B E L, rectangulum ad B. In triangulo A F K datur arcus seu latus A F, tot gradibus depressum infra Horizontem, quot elevatus est arcus B E supra Horizontem. Datur praeterea angulus A F K tantus, quantus est angulus C F H, vel C E H, determinatus ab arcu C H Aequatoris. Ex his duplici vis inveniri potest arcus Horizontalis A K; primo, per Sinus et Tangentes, secundo, per Logarithmos illorum.&amp;lt;noinclude&amp;gt;&amp;lt;references/&amp;gt;&amp;lt;/noinclude&amp;gt;&lt;/div&gt;</summary>
		<author><name>Sang Min Lee</name></author>
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